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2 years ago

What is cosine ? I really need this answer for my test tomorrow. Please help

Mathematics

2 answers:

stiv31 [10]2 years ago

4 0

Cosine is one of the three part for trigonometry.

You have sin, cos, and tan.

You can easily do this by understanding SOH CAH TOA.

Sin = OPPO. over HYPOTENUSE
Cos = ADJACENT over HYPOTENUSE
Tan = OPPO. over ADJACENT

I hope this helps!

Kisachek [45]2 years ago

3 0

Cosine is $\frac{adjacent}{hypotenuse}$ which applies to a right triangle. I hope that helps you.

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In this problem we consider an equation in differential form Mdx+Ndy=0. (4x+2y)dx+(2x+8y)dy=0 Find My= 2 Nx= 2 If the problem is

zheka24 [161]

Answer:

$f(x,y)=2x^2+4y^2+2xy=C_1\\\\Where\\\\y(x)=\frac{1}{4} (-x\pm \sqrt{-7x^2+C_1} )$

Step-by-step explanation:

Let:

$M(x,y)=4x+2y\\\\and\\\\N(x,y)=2x+8y$

This is and exact equation, because:

$\frac{\partial M(x,y)}{\partial y} =2=\frac{\partial N}{\partial x}$

So, define f(x,y) such that:

$\frac{\partial f(x,y)}{\partial x} =M(x,y)\\\\and\\\\\frac{\partial f(x,y)}{\partial y} =N(x,y)$

The solution will be given by:

$f(x,y)=C_1$

Where C1 is an arbitrary constant

Integrate $\frac{\partial f(x,y)}{\partial x}$ with respect to x in order to find f(x,y):

$f(x,y)=\int\ {4x+2y} \, dx =2x^2+2xy+g(y)$

Where g(y) is an arbitrary function of y.

Differentiate f(x,y) with respect to y in order to find g(y):

$\frac{\partial f(x,y)}{\partial y} =2x+\frac{d g(y)}{dy}$

Substitute into $\frac{\partial f(x,y)}{\partial y} =N(x,y)$

$2x+\frac{dg(y)}{dy} =2x+8y\\\\Solve\hspace{3}for\hspace{3}\frac{dg(y)}{dy}\\\\\frac{dg(y)}{dy}=8y$

Integrate $\frac{dg(y)}{dy}$ with respect to y:

$g(y)=\int\ {8y} \, dy =4y^2$

Substitute g(y) into f(x,y):

$f(x,y)=2x^2+4y^2+2xy$

The solution is f(x,y)=C1

$f(x,y)=2x^2+4y^2+2xy=C_1$

Solving y using quadratic formula:

$y(x)=\frac{1}{4} (-x\pm \sqrt{-7x^2+C_1} )$

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3 years ago

Find the solution to the equation z – 7 = 8.

Bas_tet [7]

Z - 7 = 8

subtract 7 from both sides

z = 15

hope this helped!

7 0

1 year ago

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Write the expression in correct forma<br><br>13n² -6n⁴ + 2n -5n³ + 3<br>

m_a_m_a [10]

Answer:

-6n^4 -5n^3 +13n^2 +2n +3

organize the exponents from higher to lower.

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2 years ago

Triangle Q R S is shown. Angle Q R S is 100 degrees. The length of Q R is 2.4 and the length of Q S is 3.5. Law of sines: StartF

Orlov [11]

Answer:

StartFraction sine (100 degrees) Over 3.5 EndFraction = StartFraction sine (S) Over 2.4 EndFraction

in other words, A.

Step-by-step explanation:

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3 years ago

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A hat is originally priced at $28 is on sale for $15% off. What is the total cost of the hat if the tax is 6.75%?

vampirchik [111]

You do 28, which is the original cost, then you take that 15% off to do that you multiply 28×.15 and you get 4.2 and subtract that from original cost and you get 23.8 then to get the cost after tax you do 23.8×.0675 and you get 1.6 then you add that to 23.8 and get 25.4 dollars

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3 years ago